Greatest Common Factor of 31423 and 31426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 31423, 31426 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31423 and 31426 is 1.

GCF(31423,31426) = 1

GCF of 31423 and 31426

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 31423 and 31426

GCF of 31423 and 31426 is 1

Prime Factorization of 31423


7 31423
67 4489
67 67
1

Prime factors of 31423 are 7,67. Prime factorization of 31423 in exponential form is:

31423 = 71×672

Prime Factorization of 31426


2 31426
19 15713
827 827
1

Prime factors of 31426 are 2,19,827. Prime factorization of 31426 in exponential form is:

31426 = 21×191×8271

∴ So by taking common prime factors GCF of 31423 and 31426 is 1

Greatest Common Factor of 31423 and 31426 by matching factors method

Factors of 31423

List of positive integer factors of 31423 that divides 31423 without a remainder.

1,7,67,469,4489,31423

Factors of 31426

List of positive integer factors of 31426 that divides 31426 without a remainder.

1,2,19,38,827,1654,15713,31426

Greatest Common Factor

We found the factors and prime factorization of 31423 and 31426. The biggest common factor number is the GCF number.
So the greatest common factor 31423 and 31426 is 1.

Also check out the Least Common Multiple of 31423 and 31426

Properties of GCF 31423 and 31426

(i) The GCF of 31423 and 31426 is associative

GCF of 31423 and 31426 = GCF of 31426 and 31423

Related Greatest Common Factor of 31423

Related Greatest Common Factor of 31426

Frequently Asked Questions on GCF of 31423 and 31426

1. What is the GCF of 31423 and 31426?

Answer: GCF of 31423 and 31426 is 1.

2. What are the Factors of 31423?

Answer: Factors of 31423 are 1, 7, 67, 469, 4489, 31423. There are 6 integers that are factors of 31423. The greatest factor of 31423 is 31423.

3. What are the Factors of 31426?

Answer: Factors of 31426 are 1, 2, 19, 38, 827, 1654, 15713, 31426. There are 8 integers that are factors of 31426. The greatest factor of 31426 is 31426.

4. How to Find the GCF of 31423 and 31426?

Answer:

Greatest Common Factor of 31423 and 31426 = 1

Step 1: Find the prime factorization of 31423

31423 = 7 x 67 x 67

Step 2: Find the prime factorization of 31426

31426 = 2 x 19 x 827

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 31423 and 31426 is 1